1 - Discrete random variables

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7 Terms

1
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What is the general formula for expected value (E(X)) of a discrete random variable

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2
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What is the general formula for the variance (Var(X)) of a discrete random variable

mean of the squares minus square of the means

<p>mean of the squares minus square of the means</p>
3
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define variance

how variant a variable is aka how different the recorded values are compared to what’s expected

4
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what is E(aX+b)

aE(X)+b

5
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what is E(X+Y)

E(X)+E(Y)

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what is Var(aX+b)

a²Var(X)

7
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why does the constant ‘b’ not affect the variance

because the ‘b’ will increase/decrease by the same amount so it won’t change the amount that each varies from the expected, as the expected will change by the same amount.